【摘要】 对于一般的常系数高阶线性微分方程,其解函数是否能构成方程的基本解组,需要证明其线性无关.利用行列式展开的直接法、高等代数中证明函数线性无关的定义法、算子法,并辅助反证法给出了详细的证明过程.更多还原

【Abstract】 For higher-order linear ordinary differential equation,whether its solution function is fundamental system of equation’s solutions needs to prove the solution function’s linearly independence.By direct method of determinant expansion,definition method of linearly independence of functions in higher algebra,operator method,and assisting with proof by contradiction specifies the proof.更多还原